Finding the Third Proportional to 23,696 and 37,176

Step by Step Solution

1. Step 1: Write the proportion equation
   23,696 : 37,176 = 37,176 : x
2. Step 2: Convert to fraction form
   23,696/37,176 = 37,176/x
3. Step 3: Cross multiply
   23,696x = 37,176 × 37,176
4. Step 4: Simplify right side
   23,696x = 1,382,054,976
5. Step 5: Solve for x
   x = 1,382,054,976/23,696
6. Step 6: Final answer
   x = 58,324.40